Multiples of 10 involving negative exponents
I can write any integer in a range of forms.
Multiples of 10 involving negative exponents
I can write any integer in a range of forms.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A positive exponent tells you how many identical values must be multiplied together.
- Dividing by 10^n is the same as multiplying by its reciprocal.
- A negative exponent tells you how many reciprocals of the base must be multiplied together.
- a^(−3) = 1/a^3
Keywords
Exponential form - When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
Common misconception
A negative exponent implies that the entire value is negative.
Refer back to the table showing the structure of how the negative exponents occur and highlight that none of the decimal values are negative.
To help you plan your year 9 maths lesson on: Multiples of 10 involving negative exponents, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Multiples of 10 involving negative exponents, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Licence
Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$${1}\over{10}$$ -
$$10^{-1}$$
$${1}\over{100}$$ -
$$10^{-2}$$
$${1}\over{1000}$$ -
$$10^{-3}$$
$${1}\over{10 000}$$ -
$$10^{-4}$$
$${1}\over{100 000}$$ -
$$10^{-5}$$
$${1}\over{1 000 000}$$ -
$$10^{-6}$$
$$0.002$$ -
$$2\times10^{-3}$$
$$0.00004$$ -
$$4\times10^{-5}$$
$$0.2$$ -
$$2\times10^{-1}$$
$$0.005$$ -
$$5\times10^{-3}$$
$$0.000005$$ -
$$5\times10^{-6}$$
$$0.0004$$ -
$$4\times10^{-4}$$